×

A comparison of the power of some tests for conditional heteroscedasticity. (English) Zbl 0916.90049

Summary: This paper compares the power in small samples of different tests for conditional heteroscedasticity. Two new tests, based on artificial neural networks, are proposed: the main interest in them arises from the fact that they do not require the exact specification of the conditional variance under the alternative.

MSC:

91B82 Statistical methods; economic indices and measures
Full Text: DOI

References:

[1] Bera, A. K.; Higgins, M. L., ARCH models: properties, estimation and testing, Journal of Economic Surveys, 7, 4, 305-366 (1993)
[2] Bollerslev, T.; Chou, R. Y.; Kroner, K. F., ARCH modeling in finance: a review of the theory and empirical evidence, Journal of Econometrics, 52, 1/2, 5-60 (1992) · Zbl 0825.90057
[3] Bollerslev, T.; Engle, R. F.; Nelson, D. B., Arch models, (The Handbook of Econometrics, 4 (1994), North-Holland: North-Holland Amsterdam)
[4] Caulet, R.; Peguin-Feissolle, A., (A Test for Conditional Heteroscedasticity Based on Artificial Neural Networks. GREQAM Working Paper (1998))
[5] Davidson, R.; MacKinnon, J. G., (Estimation and Inference in Econometrics (1993), Oxford University Press: Oxford University Press London) · Zbl 1009.62596
[6] Davidson, R.; MacKinnon, J. G., (Graphical Methods for Investigating the Size and Power of Hypothesis Tests. GREQAM Working Paper No 94A23, Marseille, France (1994))
[7] Engle, R. F., Autoregressive conditional heteroskedasticity with estimates of the variance of United-Kingdom inflation, Econometrica, 50, 4, 987-1007 (1982) · Zbl 0491.62099
[8] Hornik, K.; Stinchcombe, M.; White, H., Multi-layer feedforward networks are universal approximators, Neural Networks, 2, 359-366 (1989) · Zbl 1383.92015
[9] Hornik, K.; Stinchcombe, M.; White, H., Universal approximation of an unknown mapping and its derivatives using multi-layer feedforward networks, Neural Networks, 3, 551-560 (1990)
[10] Kamstra, M., (A Neural Network Test for Heteroskedasticity. Working Paper (1993), Simon Fraser University: Simon Fraser University Burnaby, Canada)
[11] Lee, T. H.; White, H.; Granger, C. W.J., Testing for neglected nonlinearity in time series models — A comparison of neural network methods and alternative tests, Journal of Econometrics, 56, 269-290 (1993) · Zbl 0766.62055
[12] McLeod, A. I.; Li, W. K., Diagnostic checking ARMA time series models using squared-residuals autocorrelation, Journal of Time Series Analysis, 4, 4, 269-273 (1989) · Zbl 0536.62067
[13] Stinchcombe, M.; White, H., Universal Approximation Using Feedforward Networks with Non-sigmoid Hidden Layer Activation Functions, (Proceedings of the International Joint Conference on Neural Networks (1989), IEEE Press, I: IEEE Press, I Washington, DC), 613-618
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.